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Developing expertise in physics requires appropriate integration and assimilation of physics and mathematics. Instructors and students often describe physics courses in terms of their emphasis on conceptual and quantitative problem-solving.…

Physics Education · Physics 2025-12-11 Apekshya Ghimire , Chandralekha Singh

Understanding how physicists solve problems can guide the development of methods that help students learn and improve at solving complex problems. Leveraging the framework of cognitive task analysis, we conducted semi-structured interviews…

Physics Education · Physics 2022-11-11 Mike Verostek , Molly Griston , Jesus Botello , Benjamin Zwickl

The cyclic format of the undergraduate physics curriculum depends on students' ability to recall and utilize material covered in prior courses in order to reliably build on that knowledge in later courses. However, there is evidence to…

Physics Education · Physics 2020-07-01 Bethany R. Wilcox , Steven J. Pollock , Daniel R. Bolton

Many Physics Education Researchers have discussed the positive correlation between students' incoming mathematics skills and performance in their physics classes. Thus, in order to strengthen their performance gains in their physics…

Physics Education · Physics 2018-09-27 Colleen Lanz Countryman , Hong Wang

This study investigated the use of concept maps on advancing students conceptual understanding of the Euler Circuit concept. The participants were students at the college of Humanities and Social Sciences with a background in Art. A…

History and Overview · Mathematics 2014-11-26 Derar Serhan , Muhammed Syam , Qasem AlMdallal

While proof is a central component of postsecondary mathematical study, proof construction has historically posed significant difficulties for students who intend to earn mathematics degrees at the undergraduate level. This work is…

History and Overview · Mathematics 2023-03-01 Bolanle Salaam

This paper reports on an investigation into the correlations between students' understandings of introductory astronomy concepts and the correctness and coherency of their written responses to targeted Lecture-Tutorial questions. We…

Physics Education · Physics 2016-03-16 Jeffrey W. Eckenrode , Edward E. Prather , Colin S. Wallace

In this paper we investigate the extent to which students' problem-solving behaviors change as a result of working on multi-faceted, context-rich problems. During the semester, groups of two to three students work on several problems that…

Mathematics is the language of science. Fluent and productive use of mathematics requires one to understand the meaning embodied in mathematical symbols, operators, syntax, etc., which can be a difficult task. For instance, in algebraic…

Physics Education · Physics 2019-09-26 Tra Huynh , Eleanor C Sayre

The traditional approach to studying student understanding presents a question and uses the student answers to make inferences about their knowledge. However, this method does not capture the range of possible alternative ideas available to…

Physics Education · Physics 2022-06-29 Nolan K. Weinlader , Eric Kuo , Benjamin M. Rottman , Timothy J. Nokes-Malach

Human knowledge provides a formal understanding of the world. Knowledge graphs that represent structural relations between entities have become an increasingly popular research direction towards cognition and human-level intelligence. In…

Computation and Language · Computer Science 2021-04-02 Shaoxiong Ji , Shirui Pan , Erik Cambria , Pekka Marttinen , Philip S. Yu

Statistical thinking partially depends upon an iterative process by which essential features of a problem setting are identified and mapped onto an abstract model or archetype, and then translated back into the context of the original…

Other Statistics · Statistics 2019-02-21 Matthew Beckman , Robert delMas

Concept discovery is one of the open problems in the interpretability literature that is important for bridging the gap between non-deep learning experts and model end-users. Among current formulations, concepts defines them by as a…

Machine Learning · Computer Science 2022-02-11 Adrianna Janik , Kris Sankaran

Testing knowledge is an integral part of summative assessment at schools. It can be performed in many different ways. In this study we propose assessment of physics knowledge by using a tournament approach. Prior to a statistical analysis…

Physics Education · Physics 2015-12-31 Daniel Dziob , Lukasz Kwiatkowski , Dagmara Sokolowska

One of the objectives of the undergraduate physics curriculum is for students to become aware of the connections between the fundamental principles of classical physics and their personal experience. Nonetheless, numerous studies have shown…

Physics Education · Physics 2018-10-18 Zosia Krusberg , Meredith Ward

Instruction in quantum mechanics is becoming increasingly important as the field is not only a key part of modern physics research, but is also important for emerging technologies. However, many students regard quantum mechanics as a…

Physics Education · Physics 2025-02-04 Victoria Borish , H. J. Lewandowski

Scientists who study how the brain solves problems have recently verified that, because of stringent limitations in working memory, where the brain solves problems, students must apply facts and algorithms that have previously been well…

Physics Education · Physics 2021-02-17 JudithAnn R. Hartman , Eric A. Nelson

Studies indicate that pre-existing misconceptions negatively impact the effectiveness of traditional physics education. Research has also shown that activity based instruction improves posttest scores on conceptual evaluations. However, the…

Physics Education · Physics 2007-05-23 Emily M. Reiser , Mark E. Markes

We present a novel methodology to jointly perform multi-task learning and infer intrinsic relationship among tasks by an interpretable and sparse graph. Unlike existing multi-task learning methodologies, the graph structure is not assumed…

Machine Learning · Computer Science 2020-09-15 Shujian Yu , Francesco Alesiani , Ammar Shaker , Wenzhe Yin

In physics education research, instructors and researchers often use research-based assessments (RBAs) to assess students' skills and knowledge. In this paper, we support the development of a mechanics cognitive diagnostic to test and…